9x^2-40x+56=0

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Solution for 9x^2-40x+56=0 equation: 


Simplifying
9x2 + -40x + 56 = 0

Reorder the terms:
56 + -40x + 9x2 = 0

Solving
56 + -40x + 9x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
6.222222222 + -4.444444444x + x2 = 0

Move the constant term to the right:

Add '-6.222222222' to each side of the equation.
6.222222222 + -4.444444444x + -6.222222222 + x2 = 0 + -6.222222222

Reorder the terms:
6.222222222 + -6.222222222 + -4.444444444x + x2 = 0 + -6.222222222

Combine like terms: 6.222222222 + -6.222222222 = 0.000000000
0.000000000 + -4.444444444x + x2 = 0 + -6.222222222
-4.444444444x + x2 = 0 + -6.222222222

Combine like terms: 0 + -6.222222222 = -6.222222222
-4.444444444x + x2 = -6.222222222

The x term is -4.444444444x.  Take half its coefficient (-2.222222222).
Square it (4.938271604) and add it to both sides.

Add '4.938271604' to each side of the equation.
-4.444444444x + 4.938271604 + x2 = -6.222222222 + 4.938271604

Reorder the terms:
4.938271604 + -4.444444444x + x2 = -6.222222222 + 4.938271604

Combine like terms: -6.222222222 + 4.938271604 = -1.283950618
4.938271604 + -4.444444444x + x2 = -1.283950618

Factor a perfect square on the left side:
(x + -2.222222222)(x + -2.222222222) = -1.283950618

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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